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If $y = x^3 + 2x + 5$ and $z = x^2 + 7x + 1$ , what is $2y + z$ in terms of $x$ ? $\newline$ A) $3x^3 + 11x + 11$ $\newline$ B) $2x^3 + x^2 + 9x + 6$ $\newline$ C) $2x^3 + x^2 + 11x + 11$ $\newline$ D) $2x^3 + 2x^2 + 18x + 12$

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Find derivatives of other trigonometric functions

Full solution

Q. If

y = x^3 + 2x + 5

and

z = x^2 + 7x + 1

, what is

2y + z

in terms of

x

?

\newline

A)

3x^3 + 11x + 11

\newline

B)

2x^3 + x^2 + 9x + 6

\newline

C)

2x^3 + x^2 + 11x + 11

\newline

D)

2x^3 + 2x^2 + 18x + 12

Write Equations: First, let's write down the given equations for $y$ and $z$ : $y = x^3 + 2x + 5,$ $z = x^2 + 7x + 1.$ Now, we need to find $2y + z$ .
Calculate $2y$ : Calculate $2y$ : $2y = 2(x^3 + 2x + 5) = 2x^3 + 4x + 10$ .
Add $2y$ and $z$ : Now, add $2y$ and $z$ : $2y + z = (2x^3 + 4x + 10) + (x^2 + 7x + 1) = 2x^3 + x^2 + 11x + 11.$

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